Anisotropic quantum cosmological models: a discrepancy between many-worlds and dBB interpretations

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dc.creatorAlvarenga, F. G.
dc.creatorBatista, A. B.
dc.creatorFabris, J. C.
dc.creatorGoncalves, S. V. B.
dc.date2002-02-04
dc.date.accessioned2026-07-07T03:26:39Z
dc.date.available2026-07-07T03:26:39Z
dc.descriptionIn the isotropic quantum cosmological perfect fluid model, the initial singularity can be avoided, while the classical behaviour is recovered asymptotically. We verify if initial anisotropies can also be suppressed in a quantum version of a classical anisotropic model where gravity is coupled to a perfect fluid. Employing a Bianchi I cosmological model, we obtain a "Schrödinger-like" equation where the matter variables play de role of time. This equation has a hyperbolic signature. It can be explicitly solved and a wave packet is constructed. The expectation value of the scale factor, evaluated in the spirit of the many-worlds interpretation, reveals an isotropic Universe. On the other hand, the bohmian trajectories indicate the existence of anisotropies. This is an example where the Bohm-de Broglie and the many-worlds interpretations are not equivalent. It is argued that this inequivalence is due to the hyperbolic structure of the "Schrödinger-like" equation.
dc.descriptionLatex file, 15 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0202009
dc.identifierhttp://arxiv.org/abs/gr-qc/0202009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34125
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleAnisotropic quantum cosmological models: a discrepancy between many-worlds and dBB interpretations
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